A closed formula for the derivatives of $\ds e^{f(x)}$
Abstract
We give a closed formula for the derivative of arbitrary order of the function $\ds g(x)=\exp(f(x))$.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- July 2005
- DOI:
- arXiv:
- arXiv:math/0507439
- Bibcode:
- 2005math......7439D
- Keywords:
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- Mathematics - Combinatorics
- E-Print:
- It actually appears that this formula is a special case of Faa di Bruno's formula, and therefore this is not a new result. The author would like to thank those who pointed this out to him